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An Analysis of the Finite Element Method (Prentice-Hall Series in Automatic Computation), by Gilbert Strang, George J. Fix
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Chapter 1: An Introduction to the Theory; Chapter 2: A Summary of the Theory; Chapter 3: Approximation; Chapter 4: Variational Crimes; Chapter 5: Stability; Chapter 6: Eigenvalue Problems; Chapter 7: Initial-Value Problems; Chapter 8: Singularities.
- Sales Rank: #876237 in Books
- Published on: 1973-09
- Original language: English
- Number of items: 1
- Binding: Hardcover
- 306 pages
About the Author
Gilbert Strang is a Professor of Mathematics at Massachusetts Institute of Technology and an Honorary Fellow of Balliol College, of the University of Oxford, UK. His current research interests include linear algebra, wavelets and filter banks, applied mathematics, and engineering mathematics. He is the author or co-author of six textbooks and has published a monograph with George Fix titled "An Analysis of the Finite Element Method." Professor Strang served as SIAM’s president from 1999-2000, chaired the US National Committee on Mathematics from 2003–2004, and won the Neumann Medal of the US Association of Computational Mechanics in 2005. He is a fellow of the American Academy of Arts and Sciences.
Most helpful customer reviews
4 of 4 people found the following review helpful.
If you'd like to know why FEM works...
By Paul A. Bonyak
This book details the mathematical analysis which justifies the finite element method which was largely discovered and explored in the late 60's. It stays in the linear or Hilbert Space domain. This is not a limitation and is still current as nonlinearity is usually introduced at a degree of approximation. Convergence arguments are done largely through skillful use of Hilbert Space norms and Cauchy sequences. Worthy reference as much of the justification is far from obvious.
13 of 14 people found the following review helpful.
A classic
By David Samuel Bindel
If you're a numerical analyst or an engineer interested in the basic theory of the finite element method, this book belongs on your shelf. If you have no interest in finite elements but enjoy well-written mathematical literature, this book still belongs on your shelf. Though some sections are dated, the contents of this book remain a solid foundation for understanding the behavior of finite element techniques in theory and in practice. Furthermore, while the contents are mathematically rigorous, the authors largely avoid the theorem/lemma/proof of most mathematical books, and instead describe the analysis in an almost conversational tone. Reading Strang and Fix reminds me of reading Lanczos: the book is dense with ideas which are both mathematically and practically interesting, but the presentation is so smooth that one can almost read it as one reads a novel.
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